Nearly order from quantum disorder phenomena and its observation in a bosonic quantum anomalous Hall system

TL;DR

This paper introduces the concept of Nearly Order from Quantum Disorder phenomena (NOFQD) in bosonic quantum anomalous Hall systems, linking phenomenological and microscopic theories, and suggests experimental detection in cold atom systems.

Contribution

It proposes and characterizes the NOFQD phenomenon in a bosonic quantum anomalous Hall system, establishing theoretical connections and potential experimental observations.

Findings

Identification of two types of OFQDs with different responses

Connection between phenomenological GL theory and microscopic calculations

Potential observation of NOFQD in cold atom experiments

Abstract

We report a new many body phenomena called " Nearly order from quantum disorder phenomena" (NOFQD). We demonstrate the NOFQD in the experimentally realized weakly interacting Quantum Anomalous Hall system of spinor bosons in an optical lattice. We establish intrinsic connections between the phenomenological GL theory and the microscopic calculations on the effective potential. Connections with the bilayer quantum Hall system with a total filling factor $ \nu_T=1 $ are made. Some insightful analogy with $ NAdS_2/NCFT_1 $ ( where $ N $ also means nearly ) correspondence in the context of Sachdev-Ye-Kitaev models are hinted. Two types of OFQDs are classified, one response trivially, another non-trivially to a small deformation to the Hamiltonian leading to NOFQD. The NOFQD can be detected in the current cold atom bosonic quantum anomalous Hall experiments and may also appear in many other frustrated systems.